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arXiv · 2006.12465

Expressive Logics for Coinductive Predicates

Clemens Kupke·Jurriaan Rot
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Abstract

The classical Hennessy-Milner theorem says that two states of an image-finite transition system are bisimilar if and only if they satisfy the same formulas in a certain modal logic. In this paper we study this type of result in a general context, moving from transition systems to coalgebras and from bisimilarity to coinductive predicates. We formulate when a logic fully characterises a coinductive predicate on coalgebras, by providing suitable notions of adequacy and expressivity, and give sufficient conditions on the semantics. The approach is illustrated with logics characterising similarity, divergence and a behavioural metric on automata.

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Clemens Kupke, Jurriaan Rot. 2020-06-22. Expressive Logics for Coinductive Predicates. https://doi.org/10.46298/lmcs-17(4%3A19)2021

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